Least Common Multiple of 340/66, 992/2855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/66, 992/2855 quickly i.e. 84320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/66, 992/2855 is 84320.

LCM(340/66, 992/2855) = 84320

LCM of 340/66, 992/2855

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 340/66,992/2855

Given numbers are 340/66,992/2855

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 340,992

Least Common Multiple of Numerators i.e. LCM of 340,992 is 84320.

GCF of Denominators means GCF of 66,2855 as per the given fractions.

GCF of 66,2855 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,992

LCM of Fractions 340/66,992/2855 is 84320

2 340, 992
2 170, 496
85, 248

∴ So the LCM of the given numbers is 2 x 2 x 85 x 248 = 84320

Least Common Multiple of 340,992 with GCF Formula

Least Common Multiple of 340,992 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 340,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,992) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(340,992) x common factors =4 x 1 = 4

LCM(340,992) = ( 340 × 992 ) / 4

LCM(340,992) = 337280 / 4

LCM(340,992) = 84320


Lets's calculate GCF of 66,2855

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84320/1

Therefore the LCM of Fractions 340/66,992/2855 is 84320

Greatest Common Factor of 66,2855 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,2855 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 2855

List of positive integer factors of 2855 that divides 2855 without a remainder.

1,5,571,2855

Greatest Common Factor

We found the factors 66,2855 . The biggest common factor number is the GCF number.
So the greatest common factor 66,2855 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 340/66, 992/2855

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 340/66, 992/2855?

Answer: LCM of Numerators as per given numbers 340/66, 992/2855 is

LCM of Numerators i.e. for 340,992 is 84320

GCF of denominators i.e. for 66,2855 is 1.

Thus, LCM of Fractions is 84320.Finally, LCM of Fractions for 340/66, 992/2855 is 84320.